Balanced GHM-like multiscaling functions

Ivan W. Selesnick

doi:10.1109/97.755430

Balanced GHM-like multiscaling functions

Ivan W. Selesnick

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The Geronimo-Hardin-Massopust (GHM) multiwavelet basis exhibits symmetry, orthogonality, short support, and approximation order K = 2, which is not possible for wavelet bases based on a single scaling-wavelet function pair. However, the filterbank associated with this basis does not inherit the zero moment properties of the basis. This work describes a version of the GHM multiscaling functions (constructed with Grobner bases) for which the zero moment properties do carry over to the associated filterbank. That is, the basis is balanced up to its approximation order K = 2.

Original language	English (US)
Pages (from-to)	111-112
Number of pages	2
Journal	IEEE Signal Processing Letters
Volume	6
Issue number	5
DOIs	https://doi.org/10.1109/97.755430
State	Published - May 1999

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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Balanced GHM-like multiscaling functions

Abstract

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